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201135440 = 245113173101
BaseRepresentation
bin10111111110100…
…01010101010000
3112000110201221202
423333101111100
5402442313230
631543010332
74661423462
oct1377212520
9460421852
10201135440
11a3599040
12574399a8
133289406c
141c9da132
15129d0a45
hexbfd1550

201135440 has 160 divisors (see below), whose sum is σ = 539108352. Its totient is φ = 69120000.

The previous prime is 201135433. The next prime is 201135443. The reversal of 201135440 is 44531102.

201135440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201135443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991390 + ... + 1991490.

Almost surely, 2201135440 is an apocalyptic number.

201135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269554176).

201135440 is an abundant number, since it is smaller than the sum of its proper divisors (337972912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201135440 is a wasteful number, since it uses less digits than its factorization.

201135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201135440 is about 14182.2226748842. Note that the first 3 decimals coincide. The cubic root of 201135440 is about 585.9081421712.

Adding to 201135440 its reverse (44531102), we get a palindrome (245666542).

The spelling of 201135440 in words is "two hundred one million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 73 80 88 101 110 124 146 155 176 202 220 248 292 310 341 365 404 440 496 505 584 620 682 730 803 808 880 1010 1111 1168 1240 1364 1460 1606 1616 1705 2020 2222 2263 2480 2728 2920 3131 3212 3410 4015 4040 4444 4526 5456 5555 5840 6262 6424 6820 7373 8030 8080 8888 9052 11110 11315 12524 12848 13640 14746 15655 16060 17776 18104 22220 22630 24893 25048 27280 29492 31310 32120 34441 36208 36865 44440 45260 49786 50096 58984 62620 64240 68882 73730 81103 88880 90520 99572 117968 124465 125240 137764 147460 162206 172205 181040 199144 228563 248930 250480 275528 294920 324412 344410 398288 405515 457126 497860 551056 589840 648824 688820 811030 914252 995720 1142815 1297648 1377640 1622060 1828504 1991440 2285630 2514193 2755280 3244120 3657008 4571260 5028386 6488240 9142520 10056772 12570965 18285040 20113544 25141930 40227088 50283860 100567720 201135440